150 males and females (each) are asked questions to determine whether they are binge drinkers. 51 of the males and 64 of the females are found to be binge drinkers. Perform a chi- square test as to whether there is a relationship between the two variables at alpha=0.1. Use the multiplce choice questions to select Ho and Ha, execute the necessary calculations to determine the p-value, decide whetheryou reject Ho and state the conclusion in plain English What are H0 and Ha for this question. 0 Ho: There is a relationship between gender 8: binge drinking; Ha: There is no relationship between gender 8' binge drinking 0 Ho: p(males)=p(females); Ha: p(males) not = p(fernales) O Ho: mu(males)=mu(females); Ha: mu(males) not = mu(females) O Ho: There is no relationship between gender 3 binge drinking; Ha: There is a relationship QUESTION 10 150 males and females (each) are asked questions to determine whether they are binge drinkers. 51 of the males and 64 of the females are found to be binge drinkers. Perform a hypothesis test as to whether the proportion of males who are binge drinkers in the population is different from the proportion of females who are binge drinkers at alpha=0.1. Use the multiple choice questions to select Ho and Ha, execute the necessary calculations to determine the p-value, decide whether you reject Ho and state the conclusion in plain English DO NOT use terminology from the Chi-Square problem. What are Ho and Ha for this question. O Ho: There is a relationship between gender & binge drinking; Ha: There is no relationship between gender & binge drinking O Ho: mu(males)=mu(females); Ha: mu(males) not = mu(females) O Ho: There is no relationship between gender & binge drinking; Ha: There is a relationship O Ho: p(males)=p(females); Ha: p(males) not = p(females) QUESTION 11 What is the value of the numerator of the main formula for this question O 0.0867 O 0.9133 O 1.0867 O 86.6667 QUESTION 12 What is the value of the denominator of the main formula for this question O 0.9439 O 0.0867 O 0.0561 O 0.1428 QUESTION 13 What is the final calculated value for this problem? O 1.5437 O 0.0561 O 1.0867 O 0.0867QUESTION 14 What is the p-value for the problem? O 0.9387 O 0.0613 O 0.1227 O 1.5437 QUESTION 15 What is the statistical conclusion? O There is a difference in the sample proportions O Fail to reject Ho for Ha O There is not a difference in the sample proportions O Reject Ho for Ha QUESTION 16 What is the interpretation or plain English conclusion for this problem? O The proportion of male binge drinkers is different from the proportion of female binge drinkers O There is not adequate statistical evidence to conclude that the prportion of male binge drinkers is different from the proportion of female binge drinkers Reject Ha for Ho O Fail to reject Ha for Ho QUESTION 17 For the chi-square problem you made a decision whether or not to reject Ho for Ha. For the difference of proportion test you made a decision whether or not to reject Ho for Ha. Were these decisions related? O It was not a coincidence. The decision must be the same for both tests O The two decisions must be different O The two decisions are not related. O The two decisions were the same, but this was just a coincidenceQUESTION 18 View Diagram 4. What is wrong with the statements shown on that diagram? SELECT ALL THAT APPLY The population distribution can have any shape for the sampling distribution to be bell shaped The sample sizes should be switched because larger n leads to a wider distribution. The sample sizes should be switched because larger n leads to a tighter distribution. O The population distribution must be approximately bell shaped for the sampling distribution to be bell shaped QUESTION 19 You may use any standard alpha for this problem. A recent article in the Make-Believe Journal of Social Science states that "A large scale study concluded that Junior-high students who played dodge-ball had a lower weight compared to those who did not play dodge-ball". The specifics of the test were: n=30,000 Junior-high students in each group (those who played dodge-ball vs. those who did not). P-value= 0.2000. Average difference in weight = 0.2 pounds. These results are O Not statistically significant Not statistically useful O Statistically useful O Statistically significant QUESTION 20 [Continuing from the previous problem] These results are O Statistically useful O Practically significant O Not statistically useful O Not practically significant QUESTION 21 The standard deviation of Y is 20. The square root of the sum of the squared residuals divided by n-2 equals 3. Does this suggest that the regression fits the data well or that it does not fit the data well? O Yes O NoQUESTION 2 Arrange the figures so that Males/Females are the columns (going left to right) and binge drinking vs. not goes up/down. What is the actual number of males who are NOT binge drinkers O 300 O 99 O 86 O 150 QUESTION 3 What is the row percentage for Binge Drinkers O 150 O 34.00% O 76.67% O 38.33% QUESTION 4 What is the expected number of Females who are binge drinkers O 24.533 O 19.550 O 57.5 O 115 QUESTION 5 What is the chi-square for Females who are binge drinkers O 0.123 O 2.383 O 0.735 O 0.457QUESTION 22 A hypothesis test is executed with an alpha = 1% and Ho is rejected. Using the probability model (or frequentist) view of probability discussed in class, what is the probability that the statistical conclusion is wrong? O 1/2 O 1% QUESTION 23 Continuing from the previous problem. If we executed the same hypothesis test (with an alpha of 1%) on different random samples of data 100 times, approximately what number of times would it make the mistake of rejecting Ho when Ho is actually true in the population? O 50 O 1 O 1% O 1/2 QUESTION 24 We expect that as the number of whisky drinks consumed increases the amount of time to tie your shoelaces increases. If we execute a regression to predict the average number of seconds to tie the shoelaces (the dependent variable, or Y) using the number of whiskey drinks consumed (the independent variable, or X) then what would be the appropriate Ho and Ha O Ho: Beta1=0; Ha: Beta1>0 O Ho: Beta1>0; Ha: Beta1=0 O Ho: mu=0; Ha: mu>0 O Ho: Beta0=0; Ha: Beta0>0QUESTION 6 What is the total Chi Square value for the problem. 0 2,383 O (145? O 0.123 O 150 QUESTION 7 What is the P-value for problem? 0 2.333 0 0,122? 0 0,735 0 0,457 QUESTION 3 What is the statistical conclusion? 0 There is a relationship 0 Fail to [eject Ho tor Ha 0 There is not a relationship 0 Reject Ho for Ha QUESTION 9 What is the interpretation or plain English conclusion? C There is a relationship between gender and binge drinking 0 There is no relationship between Binge drinking and gender 0 There is not adequate statistical evidence to conclude that there is a relationship between gender and binge drinking The only reason that the two sampling distributions are bell-shaped is that the population from which they were drawn is roughly bell-shaped. Also, the size of the samples used to build the two sampling distributions are 121 and 36. The only reason that the two sampling distributions are bell-shaped is that the population from which they were drawn is roughly bell-shaped. Also, the size of the samples used to build the two sampling distributions are 100 and 36. The only reason that the two sampling distributions are bell-shaped is that the population from which they were drawn is roughly bell-shaped. Also, the size of the samples used to build the two sampling distributions are 100 and 81. Population Distribution Sampling DistributionsThe only reason that the two sampling distributions are bell-shaped is that the population from which they were drawn is roughly bell-shaped. Also, the size of the samples used to build the two sampling distributions are 81 and 49